Abstract

We provide a method to compute the dimension of the tangent space to the global infinitesimal deformation functor of a curve together with a subgroup of the group of automorphisms. The computational techniques we developed are applied to several examples including Fermat curves, p-cyclic covers of the afine line and to Lehr–Matignon curves.

Keywords

automorphisms, curves, deformations

Mathematical Subject Classification

Primary: 14H37

Secondary: 14D15, 14B10

Authors